[GAP Forum] Linear representation of G2(q), q even

Nagy Gábor nagyg at math.u-szeged.hu
Sat Dec 20 15:01:37 GMT 2008

Dear Forum,

It is "well known" that for even prime power q, the exceptional Lie 
group G2(q) has two linear representations of dimension 6, both are 
transitive on the set of non-zero vectors.

Can you suggest me some literature about this construction?

I am escpecially interested in the question if the induced transitive 
representations on the 5-dimensional projective spaces PG(5,q) are 

Thank you very much for your help.



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